Table 30 Summary of the p-value of the posthoc_nemenyi_friedman test evaluated over all runs (sampling-Continue).

From: Efficient implicit constraint handling approaches for constrained optimization problems

Performance indicator

Sampling

Real_lhs

Real_random

Hybrid-ftol vs. BU

Hybrid-ftol vs. Without BU

Hybrid-ftol vs. Hybrid-cvtol

Hybrid-ftol vs. BU

Hybrid-ftol vs. Without BU

Hybrid-ftol vs. Hybrid-cvtol

p-value

ha

p-value

h

p-value

h

p-value

h

p-value

h

p-value

h

IGD

0.04

+

0.09

~

0.90

~

0.51

~

0.22

~

0.67

~

IGD+

0.43

~

0.28

~

0.67

~

0.90

~

0.67

~

0.35

~

GD

0.22

~

0.51

~

0.67

~

0.51

~

0.22

~

0.67

~

GD+

0.22

~

0.51

~

0.67

~

0.51

~

0.22

~

0.67

~

  1. aPosthoc_nemenyi_friedman: +, ~, and – presents the first method performs statistically significantly better, equal, and worse than the second approach.